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Optimal Recovery of the Derivative of Bounded Analytic Functions |
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| Authors: | RIVLIN T J; RUSCHEWEYH ST; SHAFFER D; WIRTHS K J |
| Institution: |
Mathematical Sciences Department, IBM Research Center Yorktown Heights, N.Y. 10598, U.S.A. Mathematisches Institut, University of W?rzburg 8700 W?rzburg, W. Germany Department of Mathematics, Fairfield University Fairfield, CT 06430, U.S.A. Institut C fur Mathematik, TU Braunschweig 3300 Braunschweig, W. Germany |
| Abstract: | Given   (–1, 0), n N, we discuss the optimal recoveryof  (), for analytic and bounded in  < 1, from the knowledge of the values of at n points z1,.zm0,l),where these points are chosen to produce the least possibleintrinsic error. The optimal algorithms are explicitly determined. |
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